# How to Find the First Moment of Area of a Circular Segment by Integration

Given a segment of circle symmetric about the $y$-axis, I'm wondering how to apply the integral $Q_x = \int y \, dA$ to find the first moment of area with respect to the $x$-axis. I'm having difficulties taking into account both the straight line and the circular portion of the segment.

Any help is greatly appreciated.

$$Q_x = \int y \, dA =\int_{-a}^a \int_h^{\sqrt{1-x^2}} y \, dy \, dx$$
with $a=\sqrt{1-h^2}$. Where did you get stuck?